IDEAS home Printed from https://ideas.repec.org/a/bjf/journl/v11y2026i6p128-140.html

The Study of One-Dimensional Relativistic Shannon Entropy with Hulthen–Coulomb Interaction Using Klein-Gordon Equation

Author

Listed:
  • Ituen B. Okon

    (Department of Physics, University of Uyo, Nigeria.)

  • Akaninyene D. Antia

    (Department of Physics, University of Uyo, Nigeria.)

  • Cecilia N. Isonguyo

    (Department of Physics, University of Uyo, Nigeria.)

  • Clement A. Onate

    (Physics Department, Bowen University, Iwo, Osun State, Nigeria)

  • Aniesua A. Essiett1

    (Department of Physics, University of Uyo, Nigeria.)

  • Dianabasi N. Akpan

    (Department of Physics, University of Uyo, Nigeria.)

  • Imoh S. Abraham

    (Department of Physics, University of Uyo, Nigeria.)

  • Kaushal R. Purohit

    (Information Technology, Silver Oak College of Engineering Technology, Silver Oak University, Ahmedabad, Gujarat 382481, India.)

  • Etinamabasiyaka E. Ekott.

    (Department of Physics, University of Uyo, Nigeria.)

Abstract

The study of quantum information entropies is significant in quantum computation and signal analysis. Much research work has been carried out in quantum information entropies under nonrelativistic wave equation. However, not much research has been reported in evaluating quantum information entropies using relativistic wave equation. In this work, we evaluate Shannon information entropy in one-dimensional space with generalised Hulthen plus Coulomb potential (GHPCP) in Klein-Gordon equation using parametric Nikiforov-Uvarov method. The numerical computations obtained both for position and momentum spaces as well as the Shannon sum obeys Bialynicki-Birula and Mycieslski (BBM) uncertainty inequality in order to ascertain the degree of accuracy of the analytical and numerical calculation. This research has relevance in atomic and molecular physics especially in localisation and delocalisation of electrons or particle in atomic orbitals.

Suggested Citation

  • Ituen B. Okon & Akaninyene D. Antia & Cecilia N. Isonguyo & Clement A. Onate & Aniesua A. Essiett1 & Dianabasi N. Akpan & Imoh S. Abraham & Kaushal R. Purohit & Etinamabasiyaka E. Ekott., 2026. "The Study of One-Dimensional Relativistic Shannon Entropy with Hulthen–Coulomb Interaction Using Klein-Gordon Equation," International Journal of Research and Innovation in Applied Science, International Journal of Research and Innovation in Applied Science (IJRIAS), vol. 11(6), pages 128-140, June.
    • Handle: RePEc:bjf:journl:v:11:y:2026:i:6:p:128-140
    as

    Download full text from publisher

    File URL: https://rsisinternational.org/journals/ijrias/uploads/vol11-iss6-pg128-140-202606_pdf.pdf
    Download Restriction: no
    File URL: https://rsisinternational.org/journals/ijrias/view/the-study-of-one-dimensional-relativistic-shannon-entropy-with-hulthen-coulomb-interaction-using-klein-gordon-equation/
    Download Restriction: no
    ---><---

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bjf:journl:v:11:y:2026:i:6:p:128-140. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Dr. Renu Malsaria (email available below). General contact details of provider: https://rsisinternational.org/journals/ijrias/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.